{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4.3. Profiling your code line-by-line with line_profiler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "%load_ext line_profiler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%writefile simulation.py\n",
    "import numpy as np\n",
    "\n",
    "def step(*shape):\n",
    "    # Create a random n-vector with +1 or -1 values.\n",
    "    return 2 * (np.random.random_sample(shape)<.5) - 1\n",
    "\n",
    "def simulate(iterations, n=10000):\n",
    "    s = step(iterations, n)\n",
    "    x = np.cumsum(s, axis=0)\n",
    "    bins = np.arange(-30, 30, 1)\n",
    "    y = np.vstack([np.histogram(x[i,:], bins)[0]\n",
    "                   for i in range(iterations)])\n",
    "    return y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from simulation import simulate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "*** Profile printout saved to text file 'lprof0'.\n"
     ]
    }
   ],
   "source": [
    "%lprun -T lprof0 -f simulate simulate(50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "podoc": {
     "output_text": "Profiling result"
    }
   },
   "outputs": [
    {
     "data": {
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5XPV40ZM0a98p9//ikq554tXPlESI0aNdSbEs+dyBISEpRb09LSlIOkTU0n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\namydPGdItlqNGjVE+caNG+qVb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ZCUmr1AJHaVALKvtrYWr/YnmeYn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\n2rRmq1VUVERGRlJlBQUFe3t7/JaCgoJwHy3aZi8qor1KAHk3Z86c7OzsX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MnTs3ODh4/vz51FoMVJZytrVIxYqc/x0WFlZdXS3E8sxLly7lcbFqFtuSyRxvoePj48nMt6mp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\neLBAa2C/fPk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/f56iKC0tLScnp65du5qbmzMzrF+//tGjR1JK4HA4np6ezI4W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\nAKiZw4cPh4SE0Gl9ff3IyMgaj+p7+fKlr68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StFEqS0K2FIWSTCkZ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GlxcXF+fn4CQ7MdOnSQYrKGmpoa8gWlGBRULnuQi4sLz7r0ry+s/HHjxoksOS8v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\nAJO05aSlpZFZVHv27Kk+PQ3oKK+YF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      "text/plain": [
       "Profiling result"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(open('lprof0', 'r').read())"
   ]
  }
 ],
 "metadata": {},
 "nbformat": 4,
 "nbformat_minor": 2
}
